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Avtomatika i Telemekhanika, 2006, Issue 3, Pages 20–53 (Mi at1149)  
This article is cited in 4 scientific papers (total in 4 papers)

Deterministic Systems

Algebraic decomposition of discrete functions

V. S. Vykhovanets

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (417 kB) Citations (4)
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Abstract: Consideration was given to the functional decomposition of the discrete systems which is reducible to the functional decomposition of the discrete functions, where by the decomposition is meant the representation of a function by a formula in the basis of unary and binary operations. The algebraic decomposition in an algebra consisting of two binary operations and functions of two variables was studied. A procedure of formula design on the basis of composition of repetition-free subformulas was substantiated. Both exact and asymptotic complexity estimates of the designed formulas were given.
Presented by the member of Editorial Board: O. P. Kuznetsov

Received: 23.11.2004
English version:
Automation and Remote Control, 2006, Volume 67, Issue 3, Pages 361–392
DOI: https://doi.org/10.1134/S0005117906030039
Bibliographic databases:
Document Type: Article
PACS: 02.30.-f, 02.10.-v
Language: Russian
Citation: V. S. Vykhovanets, “Algebraic decomposition of discrete functions”, Avtomat. i Telemekh., 2006, no. 3, 20–53; Autom. Remote Control, 67:3 (2006), 361–392
Citation in format AMSBIB
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\paper Algebraic decomposition of discrete functions
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\transl
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\issue 3
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  • https://www.mathnet.ru/eng/at/y2006/i3/p20
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:207
    Full-text PDF :85
    References:28
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